用于结构振动控制的MTMD设计模型及最优设计参数

MTMD design models and the optimum design parameters for the vibration control of structures

多重调谐质量阻尼器 (MTMD)是由许多频率成线性分布的调谐质量阻尼器组成。可能的系统参数组合形成 5种MTMD模型 (即MTMD 1～MTMD 5 )。基于在基底加速度作用下具有一般MTMD时结构的位移传递函数 ,建立了MTMD 1～MTMD 5位移动力放大系数 (DDMF)的统一模式。利用DDMF和数值寻优技术得到了 5种MTMD模型的最优设计参数。最优设计参数包括 :最优频率间隔、最优阻尼比和最优调谐频率比。这些最优设计参数可为工程设计直接使用。数值分析表明 :使用MTMD来控制结构的地震反应时 ,应同时选择MTMD 1和MTMD 5两种模型 ,经综合分析比较而确定。

Multiple Tuned Mass Dampers(MTMD)consist of many tuned mass dampers with a uniform distribution of natural frequencies.Five types of MTMD models(i.e.MTMD1～MTMD5)are formed in light of the combinations available of the system parameters.Based on the derived displacement transfer function of the structure with the general MTMD under the ground acceleration,the unified expression for the displacement dynamic magnification factor(DDMF)is formulated for the MTMD1～MTMD5.Utilizing a numerical optimum searching technique,a study is performed to investigate the optimum design parameters,which include the optimum frequency spacing,damping ratio,and tuning frequency ratio.These optimum design parameters can be directly used to desing MTMD.Numerical results indicate that the MTMD model for reducing the seismic response of structures should be determined through comprehensively weighing the MTMD1 and MTMD5 models.